Overlapping Triangles Similarity

When proving these triangles similar, what would you write in for the missing reason?

• Math

• Corresponding sides are proportional

• Corresponding sides are congruent

• SSS similarity postulate

What reasons complete the proof?

• Given, AA Similarity Postulate

• Vertical Angle Theorem, AA Similarity Postulate

• Reflexive Property, SAS Similarity Postulate

• Definition of Angle Bisector, SSS Similarity Postulate

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SSS

• SAS

• no similar

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• SSS

• AA

• SAS

• not similar

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

Complete the similarity statement below.

ΔUVW~Δ​ (a)  

• UQR

• QUR

• URQ

• QRU

• RUQ

• RQU

Tell whether the triangles are similar or not.

• a

• b

∆ABC is ​ (a)   ∆DEF, because angle A is ​ (b)   to angle E and the sides are​ (c)  

• not similar

• congruent

• not proportional

• similar

• a dilation of

• proportional

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SSS

• SAS

• NOT SIMILAR

• 7

• 12

• 6

• 4